摘要
本文从特征方程和模态正交性条件出发，给出了一种应用模态参数识别结果修正理论模型的最佳矩阵逼近方法．该方法通过对识别出的模态矩阵进行奇异值分解并结合特征方程和模态正交条件导出了修正理论模型的通解表达式．在此基础上，给出了最佳逼近解的定义，研究了最佳逼近解的存在性和唯一性，给出了最佳修正质量矩阵和刚度矩阵的具体表达式．数值计算表明，本文方法具有很高的修正精度，对于大误差模型也有较好的修正能力，具有一定的应用前景．
From the eigenequation and the orthogonality conditions a best matrix approximation technique to update analytical model based on test identified modal parameters is presented. The identified modal matrix is decomposed by means of singular-value decomposition tech-nique which combines with the eigenequation and modal orthogonality relations a general modified equation for the analytical model is obtained. Based on the results, the definition of the best approximation solution for the problem is presented. the existence and uniquences of the best approximation relative to the analytical model are studied and the concrete form of the best modification is presented. Examples demonstrate that the modification methods de-veloped in this paper possesses higher modificatory accurancy and it is also suitable to modify the larger error models.
出处
《北京航空航天大学学报》
EI
CAS
CSCD
北大核心
1994年第2期142-149,共8页
Journal of Beijing University of Aeronautics and Astronautics
关键词
建立模型
模态分析
模态参数
矩阵逼近
model building
best approximation
modal analysis
singular-value decomposition
modal parameters: matrix approximation
